ECE 2212
PROBLEM SET 5
S. G. Burns
Due: Wednesday, 5 March 2014
Note 1: I
am adjusting the schedule and topical coverage because of the snow day on
Friday, 21 February. This Problem Set 5
will be due on Wednesday, 5 March. Quiz 5
will also be administered on 5 March.
There will not be a quiz or problem set due this week (24-28 February.
Note 2:
Several of the problems are include designs. I strongly encourage that you start this
problem set in
a timely manner!
1.
Text 3.72 Part (a) assumes
you assume the diode switches from OFF to ON when the diode voltage is zero
volts. Part (b) of problem assumes you use the diode model that just includes a
0.7 volt battery when the diode switches from OFF to ON. The best approach is
to draw out each circuit and then look for any potential contradictions with
the diode model and circuit when you assume a diode is either ON or OFF.
Sketching a piece-wise linear I-V characteristic is one approach to piece-wise
linear problems. Prepare a table to summarize your results.
2.
Text 3.21 This is very similar to the parameter
extraction you addressed in Experiment
3, 20 February.
3.
Based on an old quiz problem.
You are to design a battery charger for safe operation in a damp garage
environment to
use for charging your 12 VDC car
battery.

Design, that is provide a detailed and
well-labeled circuit diagram,
a dc power supply to accomplish this objective
by
satisfying the following design goals:
(a)
Input
is a 110rms
VAC. (VP=110x
) at 60 Hz from a three wire service that meets
the National Electrical Code.
(b)
Output
is a nominal 14.4 VDC
(c)
Specify
a resistor, R, to
limit the maximum battery charging current to 10 amperes.
(d)
Use
a half-wave rectifier.
(e)
There
is no ripple voltage design specification.
Explain why this is unnecessary in this application.
(f)
Use
a transformer .
(g)
The
battery charger case is metal.
(h)
Assume
a diode with VF = 0.7 V
(i)
Use
a correctly located fuse in the primary circuit to protect the power supply
from a short-circuit at the battery terminals either
from total battery failure or accidentally short
circuiting the charging cable to ground. (For
example, dropping a wrench across the battery terminals-oops!).
(j)
A
voltage regulator is not required
Your Design must include:
Well-labeled circuit diagram including the identification of the incoming “hot”, “neutral”, and “ground wires (U.S. standards)
including the National Electric Code color coding of these wires and also show
the correct color-coded wiring for a standard grounded duplex receptacle and
plug.

i.
Key
design equations and supporting calculations
ii.
Component
specifications including:
iii.
Transformer-turns
ratio
iv.
Diode-current
and power ratings
v.
Your
assessment and short discussion as to whether the laboratory 1N4001 diodes
would work or not.
vi.
Value
for R
vii.
Current
rating of a fuse to protect the power supply against a short circuit condition
at the battery terminal.
4.
Similar to an old quiz
problem. Your design team is to design a +40
volt dc power supply for your home sound
system. Your sound system requires a 400 watt
capability. The power supply is
energized from a three-wire 110 Vrms 60 Hz power line
that meets the National Electric Code (NEC).
The system
block diagram and design specifications are given below.

·
Input is a 110 Vrms 60 Hz.
·
Output voltage is 40 volts, unregulated.
·
Maximum allowable ripple is 2%
·
Use a full-wave bridge rectifier.
·
Use a transformer
·
Assume diodes with VF = 0.7 volts
Your design should
include:
Ø Well-labeled circuit diagram of what goes
in the “Your Design” box. There should
be enough detail such that someone could build an operational prototype. Polarities of key components are important
Ø Key
design equations and supporting calculations.
Show your work!
Ø Component
specifications including:
(a) Transformer-turns
ratio
(b) Effective
value of the audio system load resistor (speaker impedance) and load current for a 400 watt, 40
volt system.
(c) Capacitor
value to
satisfy the2% ripple voltage
specification.
(d) Bridge
rectifier diode-current and power ratings.
(e) Correctly
located primary circuit fuse and its rating.
(f) Correct
(NEC specified safe wiring) to the three wire power line receptacle.
5. Your smart phone requires 9.0 VDC regulated
with a receive current of 5 mA and a transmit current of 200 mA. You want to
use your car’s power port which has a nominal and lowest output voltage of 12
VDC although the voltage could go as high as 14.4 VDC when the engine and
alternator are running. Design an avalanche diode (Zener
diode) voltage regulator that will allow you to operate your smart phone from
the power port. Use the discussion and circuit diagram discussed in class for
guidance. (Of course you wouldn’t use
your smart phone while you were driving!)
Your design
should include:
(a)
A well-labeled schematic diagram
(b)
Key design equations
(c)
Values including power ratings for any resistor(s)
needed.
(d)
Avalanche diode specifications that would
work including VZ, IZ(min),
IZ(max) and PZ.
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6. Refer to the
capacitance curves for the Motorola 1N4001 1N400XCap.JPG. The input tuning circuit of a standard
analog FM radio is given below. Specify, that is design for, a voltage,
capacitance, and inductance required to tune the circuit to the center
frequency of KUMD-FM which operates at 103.3 MHz. Sketching and labeling a
representative resonance curve would be useful to support your
calculations. There is no single correct
design answer set of values since it depends upon the voltage you initially
select.

7. A 10 volt avalanche diode has a thermal resistance of θJC = 4°C/watt. The maximum junction
temperature is 175°C operating at an ambient temperature of TA=40°C. A heat sink with 6°C/watt of thermal
resistance from the sink to ambient is used but must be electrically isolated
from the diode case with a thin mica washer having a thermal resistance of
2°C/watt. See the figure. What is the maximum value of IZ
and illustrate using a sketch of the derating
curve.

Since we
are talking about converting AC to DC:

All of you are now far
enough along in your engineering studies to fully appreciate a full-blown
version of Murphy’s Laws excerpted from the original paper.




I have been emphasizing units and
unit conversion throughout the semester.
Here are some additional conversion factors you should be aware of. They are best reviewed over a beverage of
your choice.
SPECIAL UNITS AND
CONVERSION FACTORS
Ratio of an igloo's
circumference to its diameter: Eskimo Pi
2000 pounds of Chinese
soup: Won Ton
1 millionth of a
mouthwash: 1 microScope
Time between slipping on
a banana peel and smacking the pavement: 1 bananosecond
Weight an evangelist
carries with God: 1 billigram
Time it takes to sail 220
yards a 1 nautical mile per hour: Knot-furlong
365.25 days of drinking a
low-calorie beverage: 1 lite-year
16.5 feet in the Twilight
Zone: 1 Rod Serling
Half of a large
intestine: 1 semicolon
1,000,000 aches: 1 Megahurts
Basic unit of laryngitis:
1 hoarsepower
Shortest distance between
two jokes: A straight line
454 graham crackers: 1
pound cake
1 millionth of a phone: 1
microphone
1 million phones: 1
megaphone
1 million bicycles: 2
megacycles
2000 mockingbirds: two kilomockingbirds(This
is a bit subtle from a literature class)
10 cards: 1 decacards
1 kilogram of falling
figs: 1 Fig Newton
1000 grams of wet socks:
1 literhosen
1 millionth of a fish: 1
microfiche
1 trillion pins: 1
terrapin
10 rations: 1 decoration
100 rations: 1 C-ration
2 monograms: 1 diagram
8 nickels: 2 paradigms
2.4 statute miles of
intravenous surgical tubing at Yale University Hospital: 1 IV League
100 senators: Not 1
decision